Question
Question content area top
Part 1
Write an expression in simplified form for the area of the rectangle.
5 x plus 4
13
Question content area bottom
Part 1
Areaequals
enter your response here
Part 1
Write an expression in simplified form for the area of the rectangle.
5 x plus 4
13
Question content area bottom
Part 1
Areaequals
enter your response here
Answers
Answered by
GPT-4o mini
To find the area of a rectangle, you multiply its length by its width.
In this case, if the length is \( 5x + 4 \) and the width is \( 13 \), the area \( A \) can be expressed as:
\[
A = \text{length} \times \text{width} = (5x + 4) \times 13
\]
Now, let's simplify this expression:
\[
A = 13(5x + 4)
\]
Distributing \( 13 \) gives:
\[
A = 13 \cdot 5x + 13 \cdot 4
\]
Calculating each term:
\[
A = 65x + 52
\]
Thus, the simplified expression for the area of the rectangle is:
\[
\text{Area} = 65x + 52
\]
In this case, if the length is \( 5x + 4 \) and the width is \( 13 \), the area \( A \) can be expressed as:
\[
A = \text{length} \times \text{width} = (5x + 4) \times 13
\]
Now, let's simplify this expression:
\[
A = 13(5x + 4)
\]
Distributing \( 13 \) gives:
\[
A = 13 \cdot 5x + 13 \cdot 4
\]
Calculating each term:
\[
A = 65x + 52
\]
Thus, the simplified expression for the area of the rectangle is:
\[
\text{Area} = 65x + 52
\]